The average daily food consumption F of a herbivorous mammal

The average daily food consumption F of a herbivorous mammal with body weight x, where both F and x are measured in pounds is given approximately by the equation F=0.3x^3/4

Find the weight x of an elephant that consumes 600lb of food per day (Round your answer to the nearest whole number)

_____lb

Solution

F=0.3x^3/4 where x is body weight of animal in pounds

Find the weight x of an elephant that consumes 600lb of food per day:

F = 600 pounds

600 = 0.3x^3/4

x^(3/4) = 2000

x = (2000)^(4/3) = 25198.421 pounds = 25198 pounds ( rounded off to whole no. )